23528

Appears in sequences

• Expansion of 1 / Sum_{n=-oo..oo} x^(n^2).at n=24A004402
• Number of n-bead bracelets (turnover necklaces) of two colors with 6 red beads and n-6 black beads.at n=29A005513
• Number of overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined.at n=24A015128
• Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^4.at n=36A028701
• a(n) = (n + 1)*(n^2 + 2)*(n^3 + 3)/6.at n=7A131509
• Coefficients of Pascal's triangle polynomial minus MacMahon polynomial A060187 with a power of x divided out: q(x,n)=2^n*(1 - x)^(n + 1)* LerchPhi[x, -n, 1/2]; p(x,n)=((x+1)^n-q(x,n))/x.at n=12A146568
• Coefficients of Pascal's triangle polynomial minus MacMahon polynomial A060187 with minus the first and last row terms and powers of x divided out: f(n)=3^n - 2*n - 1; q(x,n)=2^n*(1 - x)^(n + 1)* LerchPhi[x, -n, 1/2]; p(x,n)=((q[x, n] - (x + 1)^n)/x - f[n] - f[n]*x^(n - 2))/x.at n=4A146745
• a(n) = a(n-1)*2 - floor(sqrt(a(n-2))).at n=17A182558
• Number of -n..n arrays x(0..6) of 7 elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern).at n=34A200185
• Triangle of Arnold L(b) for Springer numbers.at n=31A256665
• Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 121", based on the 5-celled von Neumann neighborhood.at n=28A278957
• Numbers k such that (76*10^k + 77)/9 is prime.at n=19A294633
• Triangle read by rows: T(0,0) = 1; T(n,k) = T(n-1, k) + 2*T(n-1, k-1) + 3*T(n-1, k-2) + 4*T(n-1, k-3) + 5*T(n-1, k-4) + 6*T(n-1, k-5) for k = 0..5*n; T(n,k)=0 for n or k < 0.at n=49A319092